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Developments of researches for potentials between hadrons in Lattice QCD

Research Project

Project/Area Number 16H03978
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionKyoto University

Principal Investigator

Aoki Sinya  京都大学, 基礎物理学研究所, 教授 (30192454)

Project Period (FY) 2016-04-01 – 2020-03-31
Project Status Completed (Fiscal Year 2021)
Budget Amount *help
¥17,550,000 (Direct Cost: ¥13,500,000、Indirect Cost: ¥4,050,000)
Fiscal Year 2019: ¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2018: ¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2017: ¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2016: ¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Keywords格子QCD / ポテンシャル / HAL QCD法 / クォークの対生成消滅 / ρ中間子共鳴状態 / ππ散乱位相差 / 微分展開 / 非重心系でのポテンシャル / one-end-trick / ππ散乱の位相差 / 素粒子論 / 計算物理 / 理論核物理 / ハイブリッド法 / 対生成対消滅 / ρ共鳴状態 / All-to-all法 / ππ散乱 / LapH smearing / ハドロン間相互作用 / 共鳴状態 / クォーク対消滅 / 大規模数値計算
Outline of Final Research Achievements

We have developed a new method for all-to-all propagators which enables us to calculate HAL QCD potentials between hadrons including quark and antiquark pair creations and annihilations. The method is a combination of three techniques, the one-end trick, the sequential propagator and the covariant approximation averaging.
Using the method, we have calculated the non-local I=1 two pion potential at the next-to-next-to-leading order (NLLO) of the derivative expansion in lattice QCD, with which the I=1 two pion scattering phase shift is calculated as a function of the center of mass energy. While the phase shift from the NNLO potential reproduces the previous results at discrete energy points, our result continuously covers a much wider energy range, so that we can extracted resonance parameters of the rho meson without any assumptions.
Potentials between an arbitrary combination of two hadrons can be extracted in lattice QCD by the new method.

Academic Significance and Societal Importance of the Research Achievements

クォークと反クォークの対生成消滅を含む場合のポテンシャルが計算可能になったことで、バリオン間だけでなく、メソン間やメソンーバリオン間など全ての組み合わせの相互作用が格子QCDで調べることができるようになった。このことは、クォークモデルでは記述できないエキゾチックなハドロンの存在やその性質を格子QCDで調べることが可能であることを意味しており、Λ(1405)などのその正体がよくわからなかった謎のハドロン達の正体が解明されることになる。
「ハドロンとはなんであるか」という究極の問いに対して、近い将来、QCDという第一原理からの解答が得られるかもしれない。

Report

(5 results)
  • 2021 Final Research Report ( PDF )
  • 2019 Annual Research Report
  • 2018 Annual Research Report
  • 2017 Annual Research Report
  • 2016 Annual Research Report
  • Research Products

    (46 results)

All 2021 2020 2019 2018 2017 2016

All Journal Article (22 results) (of which Int'l Joint Research: 2 results,  Peer Reviewed: 22 results,  Open Access: 21 results,  Acknowledgement Compliant: 2 results) Presentation (23 results) (of which Int'l Joint Research: 20 results,  Invited: 18 results) Book (1 results)

  • [Journal Article] Dibaryon with Highest Charm Number near Unitarity from Lattice QCD2021

    • Author(s)
      Lyu Yan、Tong Hui、Sugiura Takuya、Aoki Sinya、Doi Takumi、Hatsuda Tetsuo、Meng Jie、Miyamoto Takaya
    • Journal Title

      Physical Review Letters

      Volume: 127 Issue: 7 Pages: 072003-072003

    • DOI

      10.1103/physrevlett.127.072003

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Emergence of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ρ</mml:mi></mml:math> resonance from the HAL QCD potential in lattice QCD2021

    • Author(s)
      Akahoshi Yutaro、Aoki Sinya、Doi Takumi
    • Journal Title

      Physical Review D

      Volume: 104 Issue: 5 Pages: 054510-054510

    • DOI

      10.1103/physrevd.104.054510

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Derivative expansion in the HAL QCD method for a separable potential2021

    • Author(s)
      Aoki Sinya、Yazaki Koichi
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 2022 Issue: 3

    • DOI

      10.1093/ptep/ptab168

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] The HAL QCD potential in the I = 1 ππ system with the ρ meson bound state2020

    • Author(s)
      Akahoshi Yutaro、Aoki Sinya、Aoyama Tatsumi、Doi Takumi、Miyamoto Takaya、Sasaki Kenji
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 2020 Issue: 7 Pages: 0-15

    • DOI

      10.1093/ptep/ptaa087

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Lattice QCD and Baryon-Baryon Interactions: HAL QCD Method2020

    • Author(s)
      Aoki Sinya、Doi Takumi
    • Journal Title

      Frontiers in Physics

      Volume: 8 Pages: 307-307

    • DOI

      10.3389/fphy.2020.00307

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] d*(2380) dibaryon from lattice QCD2020

    • Author(s)
      Gongyo Shinya、Sasaki Kenji、Miyamoto Takaya、Aoki Sinya、Doi Takumi、Hatsuda Tetsuo、Ikeda Yoichi、Inoue Takashi、Ishii Noriyoshi
    • Journal Title

      Physics Letters B

      Volume: 811 Pages: 135935-135935

    • DOI

      10.1016/j.physletb.2020.135935

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] S-wave kaon-nucleon potentials with all-to-all propagators in the HAL QCD method2020

    • Author(s)
      Murakami Kotaro、Akahoshi Yutaro、Aoki Sinya
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 2020 Issue: 9 Pages: 0-13

    • DOI

      10.1093/ptep/ptaa118

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Partial wave decomposition on the lattice and its applications to the HAL QCD method2020

    • Author(s)
      Miyamoto Takaya、Akahoshi Yutaro、Aoki Sinya、Aoyama Tatsumi、Doi Takumi、Gongyo Shinya、Sasaki Kenji
    • Journal Title

      Physical Review D

      Volume: 101 Issue: 7 Pages: 074514-074514

    • DOI

      10.1103/physrevd.101.074514

    • NAID

      120006878541

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Hermitizing the HAL QCD potential in the derivative expansion2020

    • Author(s)
      S. Aoki, T. Iritani and K. Yazaki
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 2020

    • NAID

      120006878540

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Lamda-Lamda and N-Xi interactions from Lattice QCD near the physical point2020

    • Author(s)
      Kenji Sasaki, Sinya Aoki, Takumi Doi, Shinya Gongyo, Tetsuo Hatsuda, Yoichi Ikeda, Takashi Inoue, Takumi Iritani, Noriyoshi Ishii, Keiko Murano, Takaya Miyamoto
    • Journal Title

      Nuclear Physics

      Volume: A998 Pages: 121737-121737

    • DOI

      10.1016/j.nuclphysa.2020.121737

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Consistency between L?scher’s finite volume method and HAL QCD method for two-baryon systems in lattice QCD2019

    • Author(s)
      Iritani Takumi、The HAL QCD collaboration、Aoki Sinya、Doi Takumi、Hatsuda Tetsuo、Ikeda Yoichi、Inoue Takashi、Ishii Noriyoshi、Nemura Hidekatsu、Sasaki Kenji
    • Journal Title

      Journal of High Energy Physics

      Volume: 2019 Issue: 3 Pages: 1-31

    • DOI

      10.1007/jhep03(2019)007

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] ${\bf I=2} \boldsymbol{\pi\pi}$ potential in the HAL QCD method with all-to-all propagators2019

    • Author(s)
      Akahoshi Yutaro、Aoki Sinya、Aoyama Tatsumi、Doi Takumi、Miyamoto Takaya、Sasaki Kenji
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 2019 Issue: 8

    • DOI

      10.1093/ptep/ptz078

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Systematics of the HAL QCD potential at low energies in lattice QCD2019

    • Author(s)
      Iritani Takumi、Aoki Sinya、Doi Takumi、Gongyo Shinya、Hatsuda Tetsuo、Ikeda Yoichi、Inoue Takashi、Ishii Noriyoshi、Nemura Hidekatsu、Sasaki Kenji、HAL QCD Collaboration
    • Journal Title

      Physical Review D

      Volume: 99 Issue: 1 Pages: 1-13

    • DOI

      10.1103/physrevd.99.014514

    • NAID

      120006826697

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] NΩ dibaryon from lattice QCD near the physical point2019

    • Author(s)
      Iritani Takumi、Aoki Sinya、Doi Takumi、Etminan Faisal、Gongyo Shinya、Hatsuda Tetsuo、Ikeda Yoichi、Inoue Takashi、Ishii Noriyoshi、Miyamoto Takaya、Sasaki Kenji
    • Journal Title

      Physics Letters B

      Volume: 792 Pages: 284-289

    • DOI

      10.1016/j.physletb.2019.03.050

    • NAID

      120006826708

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Comment on “Relation between scattering amplitude and Bethe-Salpeter wave function in quantum field theory”2018

    • Author(s)
      Aoki Sinya、Doi Takumi、Hatsuda Tetsuo、Ishii Noriyoshi
    • Journal Title

      Physical Review D

      Volume: 98 Issue: 3 Pages: 038501-038501

    • DOI

      10.1103/physrevd.98.038501

    • NAID

      120006826696

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Asymptotic behavior of Nambu-Bethe-Salpeter wave functions for scalar systems with a bound state2018

    • Author(s)
      Sinya Gongyo and Sinya Aoki,
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 2018 Issue: 9

    • DOI

      10.1093/ptep/pty097

    • NAID

      120006826704

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Most Strange Dibaryon from Lattice QCD2018

    • Author(s)
      Shinya Gongyo, Kenji Sasaki, Sinya Aoki, Takumi Doi, Tetsuo Hatsuda, Yoichi Ikeda, Takashi Inoue, Takumi Iritani, Noriyoshi Ishii, Takaya Miyamoto, Hidekatsu Nemura
    • Journal Title

      Physical Review Letters

      Volume: 印刷中

    • NAID

      120006471160

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Λc N interaction from lattice QCD and its application to Λc hypernuclei2018

    • Author(s)
      T. Miyamoto, S. Aoki, T. Doi, S. Gongyo, T. Hatsuda, Y. Ikeda, T. Inoue, T. Iritani, N. Ishii, D. Kawai, K. Murano, H. Nemura and K. Sasaki (HAL QCD Collaboration)
    • Journal Title

      Nucl. Phys. A

      Volume: 971 Pages: 113-113

    • DOI

      10.1016/j.nuclphysa.2018.01.015

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] $I=2$ $\pi\pi$ scattering phase shift from the HAL QCD method with the LapH smearing2018

    • Author(s)
      Daisuke Kawai, Sinya Aoki, Takumi Doi, Yoichi Ikeda, Takashi Inoue, Takumi Iritani, Noriyoshi Ishii, Takaya Miyamoto, Hidekatsu Nemura, Kenji Sasaki
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 2018 Issue: 4 Pages: 1-19

    • DOI

      10.1093/ptep/pty032

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Are two nucleons bound in lattice QCD for heavy quark masses? Consistency check with L?scher’s finite volume formula2017

    • Author(s)
      Iritani Takumi、Aoki Sinya、Doi Takumi、Hatsuda Tetsuo、Ikeda Yoichi、Inoue Takashi、Ishii Noriyoshi、Nemura Hidekatsu、Sasaki Kenji、HAL QCD Collaboration
    • Journal Title

      Physical Review D

      Volume: 96 Issue: 3 Pages: 034521-034521

    • DOI

      10.1103/physrevd.96.034521

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Mirage in Temporal Correlation functions for Baryon-Baryon Interactions in Lattice QCD2016

    • Author(s)
      Takumi Iritani, Takumi Doi, Sinya Aoki, Shinya Gongyo, Tetsuo Hatsuda, Yoichi Ikeda, Takashi Inoue, Noriyoshi Ishii, Keiko Murano, Hidekatsu Nemura, Kenji Sasaki
    • Journal Title

      JHEP

      Volume: 1610 Issue: 10 Pages: 101-101

    • DOI

      10.1007/jhep10(2016)101

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Fate of the Tetraquark Candidate Zc(3900) in Lattice QCD2016

    • Author(s)
      Yoichi Ikeda, Sinya Aoki, Takumi Doi, Shinya Gongyo, Tetsuo Hatsuda, Takashi Inoue, Takumi Iritani, Noriyoshi Ishii, Keiko Murano, Kenji Sasaki
    • Journal Title

      Physical Review Leters

      Volume: 117 Issue: 24 Pages: 242001-242001

    • DOI

      10.1103/physrevlett.117.242001

    • NAID

      120006826715

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Presentation] HAL QCD potentials with non-zero total momentum and application to the $I=2$ $\pi\pi$ scattering2021

    • Author(s)
      Sinya Aoki
    • Organizer
      The 38th International Symposium on Lattice Field Theory (Lattice 2021)
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Recent progresses in the HAL QCD method for hadron interactions2021

    • Author(s)
      Sinya Aoki
    • Organizer
      YITP workshop "QCD phase diagram and lattice QCD"
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Recent results for hadron interactions in the HAL QCD method2021

    • Author(s)
      Sinya Aoki
    • Organizer
      BNL-HET & RBC Joint workshop "DWQCD@25"
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] HAL QCD法の理論的課題の検討2019

    • Author(s)
      青木 慎也
    • Organizer
      日本物理学会大74回年会
    • Related Report
      2019 Annual Research Report 2017 Annual Research Report
  • [Presentation] Recent progress on theoretical and practical issues in HAL QCD method2019

    • Author(s)
      Sinya Aoki
    • Organizer
      MOST/RIKEN workshop on ab initio theory in nuclear physics
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Some theoretical issues in HAL QCD method2019

    • Author(s)
      Sinya Aoki
    • Organizer
      International Molecule-type Worksop "Frontier in Lattice QCD and related topics"
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Theoretical and practical progresses in the HAL QCD method2019

    • Author(s)
      Sinya Aoki
    • Organizer
      The 37th International Symposium on Lattice Field Theory (Lattice 2019)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Nuclear force from the potential method in lattice QCD2019

    • Author(s)
      Sinya Aoki
    • Organizer
      INT program INT-19-2a "Nuclear Structure at the Crossroads"
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Lattice results on dibaryons and baryon-baryon interactions2019

    • Author(s)
      Sinya Aoki
    • Organizer
      XVIII International Conference on Hadron Spectroscopy and Structure" (Hadron 2019)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 計算素粒子物理学の挑戦2019

    • Author(s)
      青木 慎也
    • Organizer
      日本物理学会大74回年会
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Hadron interactions from Lattice QCD2018

    • Author(s)
      Sinya Aoki
    • Organizer
      International School of Nuclear Physics 40th course ``The Strong Interaction: From Quarks and Gluons to Nuclei and Stars"
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Two Baryon Systems in Lattice QCD2018

    • Author(s)
      Sinya Aoki
    • Organizer
      nterface of Effective Field Theories and Lattice Gauge Theories
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Hadron interactions in Lattice QCD2018

    • Author(s)
      Sinya Aoki
    • Organizer
      Second International Workshop ``Particles, Gravitation and the Universe" (PGU2018)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 素粒子と宇宙2018

    • Author(s)
      青木 慎也
    • Organizer
      Kyoto Forum 2018 "Circle of Emptiness and Wholeness「無と全体の輪廻」
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] The fake plateau problem and normality checks in the direct method for two baryon systems2018

    • Author(s)
      Sinya Aoki
    • Organizer
      INT workshop on ``Multi-Hadron Systems from Lattice QCD"
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Hadron interactions in lattice QCD --HAL QCD potential method --2018

    • Author(s)
      Sinya Aoki
    • Organizer
      Workshop of the Doktoratskolleg ``Hadrons in Vacuum, Nuclei and Stars"
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Sanity check for NN bound states in lattice QCD with Luscher's finite volume formula2017

    • Author(s)
      Sinya Aoki
    • Organizer
      The 35rd International Symposium on Lattice Field Theory (Lattice 2017)
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] HAL QCD method --approach and results --2017

    • Author(s)
      Sinya Aoki
    • Organizer
      Santa Fe Workshop on ``Lattice QCD"
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Hadron interactions in lattice QCD --HAL QCD potential method --2017

    • Author(s)
      Sinya Aoki
    • Organizer
      NCTS Annual Theory Meeting 2017: Particles, Cosmology and Strings
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Overview of the HAL QCD potential method and recent results2016

    • Author(s)
      Sinya Aoki
    • Organizer
      INT Program INT 16-1 "Nuclear Physics from Lattice QCD"
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Luscher's finite volume test for two-baryon systems with attractive interactions2016

    • Author(s)
      Sinya Aoki
    • Organizer
      The 34rd International Symposium on Lattice Field Theory (Lattice 2016)
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Current status for two baryon systems in lattice QCD2016

    • Author(s)
      Sinya Aoki
    • Organizer
      KITP program ``Frontiers in Nuclear Physics"
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Lattice QCD approach to baryon interactions2016

    • Author(s)
      Sinya Aoki
    • Organizer
      The conference ``Compact stars and gravitational waves"
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Book] 格子QCDによるハドロン物理2017

    • Author(s)
      青木 慎也
    • Total Pages
      148
    • Publisher
      共立出版
    • ISBN
      9784320035331
    • Related Report
      2016 Annual Research Report

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Published: 2016-04-21   Modified: 2023-01-30  

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